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PT-symmetric supersymmetry in a solvable short-range model

par Bagchi, Bijan;Mallik, Sadek Hossain;Bíla, Hynek;Jakubský, V.;Znojil, Miloslav;Quesne, Christiane
Référence International journal of modern physics A, 21, 10, page (2173-2190)
Publication Publié, 2006-04

Article révisé par les pairs

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Résumé :

The simplest purely imaginary and piecewise constant PT-symmetric potential located inside a larger box is studied. Unless its strength exceeds a certain critical value, all the spectrum of its bound states remains real and discrete. We interpret such a model as an initial element of the generalized non-Hermitian Witten's hierarchy of solvable Hamiltonians and construct its first supersymmetric partner in closed form. © World Scientific Publishing Company.